Term structure in mathematics

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The term structure is widely used in mathematics, since with the term structure a simplification of terms is achieved. You can read here how to structure a term according to the rules of mathematics.

Structure your term according to the rules of mathematics.
Structure your term according to the rules of mathematics. © Samuel_G. / Pixelio

Terms and term structure in mathematics

  • The term term includes in the mathematicsPay, symbols, variables and brackets and displays them in a meaningful row as characters. For example, 5x (1+3) or (a+b) ² are terms in mathematics that can be simplified using the term structure.
  • All character strings that contain a relation character such as "", "=" do not come under the category of terms. 3+x>5 is not a term and therefore cannot be changed with a term structure.
  • In mathematics, the term structure is primarily used to structure particularly long and confusing terms and to simplify them with the help of calculation rules. Especially when structuring terms, it is important to observe the calculation rules of mathematics so that no errors creep into the term.

Simplifying terms using term breakdown

In order to be able to transform and simplify terms in mathematics using a correct term structure, you should master the most important types of transformation.

  • The simple term structure -Transformation in mathematics allows you to group multiple variables into one expression. The Summary must then be written as a product of numbers and variables. After the term structure, 2b+3b+7b becomes a product with "12b".
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  • You can also use the same term structure for different coefficients with the same variables. You just have to add or subtract the coefficients accordingly. subtract, the long term becomes 3x2-2y+6x2+3y after the term structure 9x2+y.
  • The arithmetic brackets deserve special attention when structuring the terms. You can transform the expression 3x6+3x9 into 3x (6+9) using brackets. You can also use several brackets in a term, whereby ac+ad+bc+bd becomes (a+b) x (c+d) after the corresponding term structure.
  • In addition, you should master the three binomial formulas from mathematics for the term structure. So you can use the term 32+24+42 into the first binomial formula (3+4)2 structure The structuring of the terms in the second and third binomial formulas follows the same principle.

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